How Do You Determine if Triangles on the Coordinate Plane are Congruent?

Note:

There are many ways to show that two triangles are congruent. This tutorial shows you how to use a triangle congruence postulate to show that two triangles on the coordinate plane are congruent to each other!

Keywords:

problem
triangle
triangles
congruent
congruence
coordinate plane
graph
sss
sas
asa
aas

Background Tutorials

Describe and perform transformations of figures in a plane using coordinate notation
- How Do You Identify Corresponding Parts in Congruent Triangles?
  
  When you have two congruent figures, that means that corresponding sides and corresponding angles are congruent. Get some practice identifying corresponding sides and angles by following along with this tutorial!
Determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint
- What Is the Distance Formula?
  
  If you need to find the distance between to points on the coordinate, you'll probably use the distance formula to get your answer. This tutorial introduces you to the distance formula and even shows you how to find it!
- What Does Congruent Mean?
  
  If two figures have the same size and shape, then they are congruent. The term congruent is often used to describe figures like this. In this tutorial, take a look at the term congruent!
Verify theorems about the relationships in triangles, including proof of the pythagorean theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems
- What are Acute, Obtuse, Right, and Straight Angles?
  
  Did you know that there are different kinds of angles? Knowing how to identify these angles is an important part of solving many problems involving angles. Check out this tutorial and learn about the different kinds of angles!